Shortest Distances
Students will explore three situations involving distances between points and lines. First, the minimum distance between two points leads to the Triangle Inequality Theorem. Then, the shortest distance from a point to a line is investigated. Finally, students find the smallest total distan...https://education.ti.com/en/activity/detail/shortest-distances
Transformtions and Tessellations
In this activity you will construct a variety of transformations. In Problem #1 you will create a reflection of a pentagon, in Problem #2 a translation of a regular hexagon, in Problem #3 a rotation of a quadrilateral in two ways, in Problem #4 a dilation of a triangle. In each case you will ob...https://education.ti.com/en/activity/detail/transformtions-and-tessellations
Concavity
Examine the relationship between the first and second derivative and shape of a function.https://education.ti.com/en/activity/detail/concavity
Secant Angle Investigation
This activity will allow students to discover the relationship between the secant angle and the corresponding central angles.https://education.ti.com/en/activity/detail/secant-angle-investigation
Paths of Rectangles
This exploration for preservice teachers, looks at how the lengths of the sides of rectangles with equal areas are related. The rectangles are constructed so that one vertex is at the origin. The path of the opposite vertex is an example of indirect variation and demonstrates a connection between...https://education.ti.com/en/activity/detail/paths-of-rectangles
Derivative Grapher
Visualize the relationship between the graph of a function and the graph of its derivative function.https://education.ti.com/en/activity/detail/derivative-grapher
Triangle Midsegments
Investigate the relationships between a triangle and the similar triangle formed by one of the triangle's midsegments.https://education.ti.com/en/activity/detail/triangle-midsegments
Perpendicular Bisector
In this activity, students will explore the perpendicular bisector theorem and discover that if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints. This is an introductory activity, where students will need to know how to change between pages, ...https://education.ti.com/en/activity/detail/perpendicular-bisector_1
Definite Integral
Make visual connections between the definite integral of a function and the signed area between the function and the x-axis.https://education.ti.com/en/activity/detail/definite-integral
The Tale of Two Tangents
This activity allows students to investigate the relationship between the angle formed by two tangents to a circle and the arcs they intercept.https://education.ti.com/en/activity/detail/the-tale-of-two-tangents
Parallel Lines and Angles
Students will use TI-Nspire technology to investigate the relationships between two corresponding angles and between two alternate interior angles. At the end of this activity, students should be able to discover that if two parallel lines are cut by a transversal the pairs of corresponding angle...https://education.ti.com/en/activity/detail/parallel-lines-and-angles
Area Function Problems
Understand the relationship between the area under a derivative curve and the antiderivative function.https://education.ti.com/en/activity/detail/area-function-problems
Parallel Lines and the Transversals that Cross Them!
Students will explore the relationships between angles formed by parallel lines crossed by transversals. While there are other activities that may address similar topics, the questions presented to students in this activity bring a fresh perspective to student discovery.https://education.ti.com/en/activity/detail/parallel-lines-and-the-transversals-that-cross-them
Perspective Drawings
In this activity, students will draw figures in one- and two-point perspective, comparing and contrasting the two types of drawings. They then create an isometric drawing and compare it to the other drawings.https://education.ti.com/en/activity/detail/perspective-drawings
"Picking" Your Way Through Area Problems
Students will discover Pick's Theorem by finding the relationship between area and the number of boundary points and interior points of a lattice polygon.https://education.ti.com/en/activity/detail/picking-your-way-through-area-problems
Applications of Critical Points
Students will examine the relationship between critical points and local extrema through real-world examples. Students will zoom in on the critical points to see if the curve becomes linear to determine if the function is differentiable at the critical point. They will then discover that the sign...https://education.ti.com/en/activity/detail/applications-of-critical-points
Properties of Parallelograms
Students will manipulate parallelograms to discover the relationships between the sides, angles, and diagonals of parallelograms.https://education.ti.com/en/activity/detail/properties-of-parallelograms_7
Cyclic Quadrilaterals
Explore the relationship between chords of a circle and their perpendicular bisectors.https://education.ti.com/en/activity/detail/cyclic-quadrilaterals
Proportional Segments
The purpose of this activity is to investigate the relationship between segments formed by drawing a line parallel to one side of a triangle or by drwing and angle bisector of one the angles.https://education.ti.com/en/activity/detail/proportional-segments
Diameter and Circumference Relationship
A short activity that helps to demonstrate the relationship between diameter and circumference.https://education.ti.com/en/activity/detail/diameter-and-circumference-relationship
Points, Lines, and Distance
Investigate the distance between two points, a point and a line, and two lines.https://education.ti.com/en/activity/detail/points-lines-and-distance
Points, Lines, and Planes
Explore the relationships between points, lines, and planes.https://education.ti.com/en/activity/detail/points-lines-and-planes
Exploring Diameter and Circumference
Explore the relationship between the diameter and circumference of a circle.https://education.ti.com/en/activity/detail/exploring-diameter-and-circumference
Polygons - Diagonals
Students will investigate the number of diagonals in each polygon with three through ten sides, then develop a formula for the relationship between the number of sides and the number of diagonals of the polygons. Some prior familiarity with constructing segments and basic functions of the TI-Nsp...https://education.ti.com/en/activity/detail/polygons--diagonals
Positive and Negative Angles and Arcs
Investigate the relationships among the angles of intersection of the two lines and the intercepted arcs using positive and negative angle and arc measures.https://education.ti.com/en/activity/detail/positive-and-negative-angles-and-arcs